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Finding the Fourth Proportional to 384.60, 576.60 and 153.24

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Solution

The fourth proportional to 384.60, 576.60 and 153.24 is: 229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.60 : 576.60 = 153.24 : x
  2. Step 2: Convert to fraction form
    384.60/576.60 = 153.24/x
  3. Step 3: Cross multiply
    384.60x = 576.60 × 153.24
  4. Step 4: Simplify right side
    384.60x = 88,358.18
  5. Step 5: Solve for x
    x = 88,358.18/384.60
  6. Step 6: Final answer
    x = 229.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.